Time-Domain Sensitivity of the Tracking Error

• 成果类型: Article
• 署名作者: O'Neil, Sean; Schirmer, Sophie; Langbein, Frank C.; Weidner, Carrie A.; Jonckheere, Edmond A.
• 署名单位: University of Southern California; Swansea University; Cardiff University; University of Bristol
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3331681
• 发表日期: 2024
• 页码: 2340-2351
• 关键词: Time-domain analysis; sensitivity; manganese; Eigenvalues and eigenfunctions; Frequency-domain analysis; Quantum system; steady-state; Control of quantum systems; quantum information and control; Robust control

摘要

A strictly time-domain. formulation of the log-sensitivity of the error signal to structured plant uncertainty is presented and analyzed through simple but representative classical and quantum systems. Results demonstrate that across a wide range of physical systems, maximization of performance (minimization of the error signal) asymptotically or at a specific time comes at the cost of increased log-sensitivity, implying a time-domain constraint analogous to the frequency-domain identity S(s) + T(s) = I. While of limited value in classical problems based on asymptotic stabilization or tracking, such a time-domain formulation is valuable in assessing the reduced robustness cost concomitant with high-fidelity quantum control schemes predicated on time-based performance measures.